Thermal noise study of a radiation pressure noise limited optical cavity with fused silica mirror suspensions
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Thermal noise study of a radiation pressure noise limited optical cavity with fused silica mirror suspensions? Sibilla Di Pace1,2,a , Luca Naticchioni2 , Martina De Laurentis3 , and Flavio Travasso4 1 2 3 4
Universit` a di Roma La Sapienza, Rome, Italy INFN Sezione di Roma, Rome, Italy Universit` a di Napoli Federico II & INFN Sezione di Napoli, Naples, Italy Universit` a di Camerino & INFN Sezione di Perugia, Perugia, Italy Received 30 March 2020 / Received in final form 1 July 2020 / Accepted 22 September 2020 Published online 1 November 2020 c The Author(s) 2020. This article is published with open access at Springerlink.com
Abstract. In this work we study the thermal noise of two monolithically suspended mirrors in a tabletop high-finesse optical cavity. We show that, given suitable seismic filters, such a cavity can be designed to be sensitive to quantum radiation pressure fluctuations in the audio band of gravitational wave interferometric detectors below 1 kHz. Indeed, the thermal noise of the suspensions and of the coatings constitutes the main limit to the observation of quantum radiation pressure fluctuations. This limit can be overcome with an adequate choice of mirror suspension and coating parameters. Finally, we propose to combine two optical cavities, like those modeled in this work, to obtain a tabletop quantum radiation pressure-limited interferometer.
1 Introduction Thermal noise places a limit for all the experiments designed to measure small position fluctuations. This is the case of gravitational wave interferometers, in particular in a band ranging from few to some hundreds of Hz. Another limitation to free-mass position measurements in interferometric experiments at low frequency comes from the quantum radiation pressure noise. This effect has been recently observed in interferometric gravitational wave detectors like Virgo [1,2] and LIGO [3]. In particular, the combination of quantum radiation pressure fluctuations at low frequencies and shot noise at higher frequencies introduces an intrinsic limit to the measurement process, called Standard Quantum Limit (SQL) [4,5], due to the quantum nature of light. However, the effect of radiation pressure can be also exploited in optomechanical cavities to generate a quantum correlation between phase and amplitude noises, producing the so-called ponderomotive squeezing [6]. In this paper, we will consider an optical cavity with suspended mirrors having different masses, where the lighter one behaves like an optical spring. Then, we propose to combine two identical optomechanical cavities of this kind obtaining an interferometric configuration, thus allowing to cancel out all the noises common to the two arm-cavities, like e.g. the RIN. In this configuration, given a proper seismic isolation, pendulum thermal ?
Contribution to the Topical Issue “Quantum Technologies for Gravitational Physics”, edited by Tanja Mehlst¨ aubler, Yanbei Chen, Guglielmo M. Tino, Hsien-Chi Yeh. a e-mail: sibilla.dipace@rom
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